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Finding the Third Proportional to 146,050,596 and 226,870,352

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Solution

The third proportional to 146,050,596 and 226,870,352 is: 352,413,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,050,596 : 226,870,352 = 226,870,352 : x
  2. Step 2: Convert to fraction form
    146,050,596/226,870,352 = 226,870,352/x
  3. Step 3: Cross multiply
    146,050,596x = 226,870,352 × 226,870,352
  4. Step 4: Simplify right side
    146,050,596x = 51,470,156,616,603,904
  5. Step 5: Solve for x
    x = 51,470,156,616,603,904/146,050,596
  6. Step 6: Final answer
    x = 352,413,191.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.